Add 36/42 and 1/27
36/42 + 1/27 is 169/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
36/42 = 36 × 9/42 × 9 = 324/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
1/27 = 1 × 14/27 × 14 = 14/378 - Add the two like fractions:
324/378 + 14/378 = 324 + 14/378 = 338/378 - 338/378 simplified gives 169/189
- So, 36/42 + 1/27 = 169/189
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